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Finding the Fourth Proportional to 33,602.16, 50,368.08 and 12,533.73

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Solution

The fourth proportional to 33,602.16, 50,368.08 and 12,533.73 is: 18,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,602.16 : 50,368.08 = 12,533.73 : x
  2. Step 2: Convert to fraction form
    33,602.16/50,368.08 = 12,533.73/x
  3. Step 3: Cross multiply
    33,602.16x = 50,368.08 × 12,533.73
  4. Step 4: Simplify right side
    33,602.16x = 631,299,915.34
  5. Step 5: Solve for x
    x = 631,299,915.34/33,602.16
  6. Step 6: Final answer
    x = 18,787.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.